ballistic pendulum lab

# ballistic pendulum lab - LAB 4 Ballistic Pendulum...

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LAB 4: Ballistic Pendulum Introduction and Theory The first part of this experiment consisted of a spring gun, two types of spherical balls, steel and brass, and a pendulum. Both types of balls were used in the testing, each tested five times. Within the tests, the balls were loaded onto the end of the spring gun giving them potential spring energy. Once they were shot, the potential spring energy is converted completely to kinetic energy. Almost instantly after they were shot the balls collided with, and stuck to, a cup at the bottom end of the pendulum, causing the pendulum to swing up. This collision, which happens completely in the horizontal direction, is completely inelastic. Because of this momentum in the horizontal direction is conserved, while in the vertical direction it is not. Once the ball is caught at the bottom of the pendulum’s range, the ball-cup pendulum system swings upward and is slowed and stopped by a toothed track which allows for the calculation of height. In this situation where the pendulum (before it catches the ball) is at rest, the kinetic energy of the pendulum-ball system at the bottom of the pendulum’s range will be equal to its potential energy at the top of its swing. Also, because this situation is completely inelastic, the momentum of the ball when it is fired will equal the momentum of the pendulum-ball system once the ball is caught. mv=(M+m)v t Where m is the mass of the ball and v is its initial velocity. And (M+m) is the combined mass of the pendulum-ball system and v t is the total velocity of the combined pendulum-ball system. M is calculated by M=mass of cup+1/3mass of arm. The ball and cup share a velocity because they stick together. Now energy conservation can be used. In this particular situation, there is no

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ballistic pendulum lab - LAB 4 Ballistic Pendulum...

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